What is the Difference Between Numerical Expression and Algebraic Expression?
🆚 Go to Comparative Table 🆚The main difference between a numerical expression and an algebraic expression lies in the presence of variables. Here is a comparison of the two types of expressions:
Numerical Expression:
- Contains only numbers and mathematical operators (addition, subtraction, multiplication, division).
- The numbers may be positive or negative.
- Can be simplified down to one term or number using the PODMAS or BODMAS method.
- Example: 14 + 32.
Algebraic Expression:
- Includes at least one variable in addition to numbers and mathematical operators.
- Contains constants (numbers) and variables (letters).
- The value of the expression can change depending on the value of the variable(s).
- Example: 2(x + 8y).
In summary, a numerical expression consists of numbers and mathematical operators, while an algebraic expression includes variables in addition to numbers and mathematical operators. Algebraic expressions can change in value based on the variable's value, whereas numerical expressions have a fixed value.
On this pageWhat is the Difference Between Numerical Expression and Algebraic Expression? Comparative Table: Numerical Expression vs Algebraic Expression
Comparative Table: Numerical Expression vs Algebraic Expression
Here is a table comparing the differences between numerical expressions and algebraic expressions:
Feature | Numerical Expression | Algebraic Expression |
---|---|---|
Definition | A mathematical phrase that consists of numbers and mathematical operations (addition, subtraction, multiplication, and division). | A mathematical phrase that contains numbers, variables, and mathematical operations. |
Constants | Contains only constants (fixed values). | Contains both constants and variables. |
Variables | Does not contain variables. | Contains variables. |
Operations | Includes addition, subtraction, multiplication, and division. | Includes the same operations as numerical expressions, but can also involve exponents and roots. |
Evaluation | Can be evaluated directly to obtain a fixed numerical value. | Requires knowing the values of the variables to evaluate the expression. |
Fixed Value | Has a fixed value. | Can change depending on the values of the variables. |
Examples of numerical expressions include 14 + 32 and 2(3x + 14). Examples of algebraic expressions include 14x - 32 and 7x + 5 = 19.
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